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Finding the Fourth Proportional to 8,111.62, 12,168.68 and 3,431.64

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Solution

The fourth proportional to 8,111.62, 12,168.68 and 3,431.64 is: 5,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.62 : 12,168.68 = 3,431.64 : x
  2. Step 2: Convert to fraction form
    8,111.62/12,168.68 = 3,431.64/x
  3. Step 3: Cross multiply
    8,111.62x = 12,168.68 × 3,431.64
  4. Step 4: Simplify right side
    8,111.62x = 41,758,529.04
  5. Step 5: Solve for x
    x = 41,758,529.04/8,111.62
  6. Step 6: Final answer
    x = 5,147.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.